Geometric Algorithm for Abelian-Gauge Models

Details Geometric Algorithm for Abelian-Gauge Models Geometric Algorithm for Abelian-Gauge Models

2009-05-05

arxiv.org/abs/0905.0639v2

JHEP 0908:008,2009

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 11 figures

Scientific paper

10.1088/1126-6708/2009/08/008

Motivated by the sign problem in several systems, we have developed a geometric simulation algorithm based on the strong coupling expansion which can be applied to abelian pure gauge models. We have studied the algorithm in the U(1) model in 3 and 4 dimensions, and seen that it is practical and is similarly efficient to the standard heat-bath algorithm, but without the ergodicity problems which comes from the presence of vortices. We have also applied the algorithm to the Ising gauge model at the critical point, and we find hints of a better asymptotic behaviour of the autocorrelation time, which therefore suggests the possibility of a smaller dynamical critical exponent with respect to the standard heat-bath algorithm.

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